1019091900101 has 16 divisors (see below), whose sum is σ = 1115182598400. Its totient is φ = 923576263680.

The previous prime is 1019091900077. The next prime is 1019091900119. The reversal of 1019091900101 is 1010091909101.

It is a cyclic number.

It is not a de Polignac number, because 1019091900101 - 2¹⁴ = 1019091883717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1019091900121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40019165 + ... + 40044621.

It is an arithmetic number, because the mean of its divisors is an integer number (69698912400).

Almost surely, 2^{1019091900101} is an apocalyptic number.

1019091900101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1019091900101 is a deficient number, since it is larger than the sum of its proper divisors (96090698299).

1019091900101 is a wasteful number, since it uses less digits than its factorization.

1019091900101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36604.

The product of its (nonzero) digits is 729, while the sum is 32.

The spelling of 1019091900101 in words is "one trillion, nineteen billion, ninety-one million, nine hundred thousand, one hundred one".